JEE MATHEMATICS MCQ: ELLIPSE

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Analyzing +4 | -1

If the chords of contact of tangents from two points

\left(x_1, y_1\right)

and

\left(x_2, y_2\right)

to the ellipse

\frac{x^2}{a^2}+\frac{y^2}{b^2}=1

are at right angles, then

\frac{x_1 x_2}{y_1 y_2}

is equal to

View answer and explanation

Correct option: C

-\frac{a^4}{b^4}

Option D (None of these) is correct because the calculated distance between the tangents does not fall within the given ranges.

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